Question

Tatum wants to solve the following system of equations by using the elimination method. What integer should she multiply the second equation by to eliminate a variable when you add the equations?
the equations are

6x + 3y = 14
3x + 2y = 10

Answer 1

To eliminate a variable when adding the two equations, Tatum should multiply the second equation by 2.

This would make the second equation become:

6x + 4y = 20

Now, when she adds this new equation to the first equation (6x + 3y = 14), the y-variable will be eliminated:

(6x + 3y) + (6x + 4y) = 14 + 20
12x + 7y = 34

Now she can solve for x and y by continuing with the elimination method.